9(z+2)-3(z-25)=3(z-1)+2(z-3)

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Solution for 9(z+2)-3(z-25)=3(z-1)+2(z-3) equation: 


Simplifying
9(z + 2) + -3(z + -25) = 3(z + -1) + 2(z + -3)

Reorder the terms:
9(2 + z) + -3(z + -25) = 3(z + -1) + 2(z + -3)
(2 * 9 + z * 9) + -3(z + -25) = 3(z + -1) + 2(z + -3)
(18 + 9z) + -3(z + -25) = 3(z + -1) + 2(z + -3)

Reorder the terms:
18 + 9z + -3(-25 + z) = 3(z + -1) + 2(z + -3)
18 + 9z + (-25 * -3 + z * -3) = 3(z + -1) + 2(z + -3)
18 + 9z + (75 + -3z) = 3(z + -1) + 2(z + -3)

Reorder the terms:
18 + 75 + 9z + -3z = 3(z + -1) + 2(z + -3)

Combine like terms: 18 + 75 = 93
93 + 9z + -3z = 3(z + -1) + 2(z + -3)

Combine like terms: 9z + -3z = 6z
93 + 6z = 3(z + -1) + 2(z + -3)

Reorder the terms:
93 + 6z = 3(-1 + z) + 2(z + -3)
93 + 6z = (-1 * 3 + z * 3) + 2(z + -3)
93 + 6z = (-3 + 3z) + 2(z + -3)

Reorder the terms:
93 + 6z = -3 + 3z + 2(-3 + z)
93 + 6z = -3 + 3z + (-3 * 2 + z * 2)
93 + 6z = -3 + 3z + (-6 + 2z)

Reorder the terms:
93 + 6z = -3 + -6 + 3z + 2z

Combine like terms: -3 + -6 = -9
93 + 6z = -9 + 3z + 2z

Combine like terms: 3z + 2z = 5z
93 + 6z = -9 + 5z

Solving
93 + 6z = -9 + 5z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-5z' to each side of the equation.
93 + 6z + -5z = -9 + 5z + -5z

Combine like terms: 6z + -5z = 1z
93 + 1z = -9 + 5z + -5z

Combine like terms: 5z + -5z = 0
93 + 1z = -9 + 0
93 + 1z = -9

Add '-93' to each side of the equation.
93 + -93 + 1z = -9 + -93

Combine like terms: 93 + -93 = 0
0 + 1z = -9 + -93
1z = -9 + -93

Combine like terms: -9 + -93 = -102
1z = -102

Divide each side by '1'.
z = -102

Simplifying
z = -102

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